RUS  ENG
Full version
JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2015 Volume 6, Number 1, Pages 96–114 (Mi emj187)

This article is cited in 11 papers

Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras

T. Senapatia, M. Bhowmikb, M. Pala, B. Davvazc

a Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721 102, India
b Department of Mathematics, V. T. T. College, Midnapore - 721 101, India
c Department of Mathematics, Yazd University, Yazd, Iran

Abstract: In this paper, the concepts of intuitionistic fuzzy translation to intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of intuitionistic fuzzy subalgebras and ideals are introduced and several related properties are investigated. In this paper, the relationships between intuitionistic fuzzy translations and intuitionistic fuzzy extensions of intuitionistic fuzzy subalgebras and ideals are investigated.

Keywords and phrases: intuitionistic fuzzy subalgebra, intuitionistic fuzzy ideal, intuitionistic fuzzy translation, intuitionistic fuzzy extension, intuitionistic fuzzy multiplication.

MSC: 06F35, 03G25, 08A72

Received: 20.01.2013

Language: English



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024